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» On the Queue Number of Planar Graphs
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JCT
2007
111views more  JCT 2007»
14 years 9 months ago
Removing even crossings
An edge in a drawing of a graph is called even if it intersects every other edge of the graph an even number of times. Pach and T´oth proved that a graph can always be redrawn so...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
CORR
2010
Springer
92views Education» more  CORR 2010»
14 years 9 months ago
Exact counting of Euler Tours for generalized series-parallel graphs
We give a simple polynomial-time algorithm to exactly count the number of Euler Tours (ETs) of any Eulerian generalized series-parallel graph, and show how to adapt this algorithm...
Prasad Chebolu, Mary Cryan, Russell A. Martin
ISAAC
2005
Springer
131views Algorithms» more  ISAAC 2005»
15 years 3 months ago
Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends
In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edge...
Xiao Zhou, Takao Nishizeki
DM
2010
78views more  DM 2010»
14 years 9 months ago
Injective colorings of sparse graphs
Let Mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if Mad(G) 5 2 , then i(G) + 1; sim...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
DAM
2010
103views more  DAM 2010»
14 years 9 months ago
Dynamic list coloring of bipartite graphs
A dynamic coloring of a graph is a proper coloring of its vertices such that every vertex of degree more than one has at least two neighbors with distinct colors. The least number...
Louis Esperet